Question

Which is an equivalent expression for 6 times d raised to the negative fourth power all over quantity 21 times d raised to the seventh power end quantity?

Answer 1

The equivalent expression 2 / 7 d¹¹ for given exponential expression 6d⁻⁴ / 21 d⁷ which is determined by dividing by the GCF of 3.

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

We have been the given expression below as:

⇒ 6d⁻⁴ / 21 d⁷

To begin, divide the numerator and denominator by the GCF of 3.

If the negative exponent is relocated to the denominator, it will turn positive.

So you will have

⇒ 2 / 7 d⁷d⁴

Add the exponents because their base is the same,

⇒ 2 / 7 d⁷⁺⁴

⇒ 2 / 7 d¹¹

Therefore, the equivalent expression 2 / 7 d¹¹ for given exponential expression 6d⁻⁴ / 21 d⁷.

Learn more about the exponential function here:

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Answer 2

Answer:

See below

Step-by-step explanation:

First divide the num and denom by the gcf of 3

  then the negative exponent will become positive if moved to the denom

  so you will have

     2 / (7 d^11)